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219323924304 = 243171671609457
BaseRepresentation
bin1100110001000010111…
…0010111111101010000
3202222010001122202020120
43030100232113331100
512043133411034204
6244431144510240
721563023411512
oct3142056277520
9688101582216
10219323924304
1185018701581
123660b17b380
13178b3913104
14a888699bb2
155a89b966d9
hex3310b97f50

219323924304 has 80 divisors (see below), whose sum is σ = 603508123008. Its totient is φ = 68395442176.

The previous prime is 219323924299. The next prime is 219323924311. The reversal of 219323924304 is 403429323912.

219323924304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668457 + ... + 941000.

Almost surely, 2219323924304 is an apocalyptic number.

219323924304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

219323924304 is an abundant number, since it is smaller than the sum of its proper divisors (384184198704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

219323924304 is a wasteful number, since it uses less digits than its factorization.

219323924304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609652 (or 1609646 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 219323924304 in words is "two hundred nineteen billion, three hundred twenty-three million, nine hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 167 204 272 334 408 501 668 816 1002 1336 2004 2672 2839 4008 5678 8016 8517 11356 17034 22712 34068 45424 68136 136272 1609457 3218914 4828371 6437828 9656742 12875656 19313484 25751312 27360769 38626968 54721538 77253936 82082307 109443076 164164614 218886152 268779319 328329228 437772304 537558638 656658456 806337957 1075117276 1313316912 1612675914 2150234552 3225351828 4300469104 4569248423 6450703656 9138496846 12901407312 13707745269 18276993692 27415490538 36553987384 54830981076 73107974768 109661962152 219323924304